Input The input consists of: • one line with two integers n (1 ≤ n ≤ 300 000), the number of researchers, and m (1 ≤ m ≤ 108), the number of minutes of inactivity after which a workstation locks itself; • n lines each with two integers a and s (1 ≤ a, s≤ 108), representing a researcher that arrives after a minutes and stays for exactly s minutes. Output Output the maximum number of unlockings Penelope may save herself. Sample Input 1 Sample Output 1 35 15 6 3 14 6 Sample Input 2 5 10 26 1 2 17 7 39 15 6 ↓ 2 Sample Output 2 3 ↓ Ľ

Input The input consists of: • one line with two integers n (1 ≤ n ≤ 300 000), the number of researchers, and m (1 ≤ m ≤ 108), the number of minutes of inactivity after which a workstation locks itself; • n lines each with two integers a and s (1 ≤ a, s≤ 108), representing a researcher that arrives after a minutes and stays for exactly s minutes. Output Output the maximum number of unlockings Penelope may save herself. Sample Input 1 Sample Output 1 35 15 6 3 14 6 Sample Input 2 5 10 26 1 2 17 7 39 15 6 ↓ 2 Sample Output 2 3 ↓ Ľ

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Control structures

Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.

Switch Statement

The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.

Question

Input
The input consists of:
• one line with two integers n (1 ≤ n ≤ 300 000), the number of researchers,
and m (1 ≤ m ≤ 10%), the number of minutes of inactivity after which a
workstation locks itself;
• n lines each with two integers a and s (1 ≤ a, s ≤ 108), representing a
researcher that arrives after a minutes and stays for exactly s minutes.
Output
Output the maximum number of unlockings Penelope may save herself.
Sample Input 1
Sample Output 1
35
1 5
63
14 6
Sample Input 2
5 10
26
1 2
17 7
39
15 6
N
2
Sample Output 2
3
2

Problem A
Assigning Workstations
Penelope is part of the admin team of the
newly built supercomputer. Her job is to
assign workstations to the researchers
who come here to run their computations
at the supercomputer.
<Hide
Picture by NASA via Wikimedia Commons
Penelope is very lazy and hates unlocking
machines for the arriving researchers. She
can unlock the machines remotely from
her desk, but does not feel that this menial
task matches her qualifications. Should she decide to ignore the security
guidelines she could simply ask the researchers not to lock their workstations
when they leave, and then assign new researchers to workstations that are not
used any more but that are still unlocked. That way, she only needs to unlock each
workstation for the first researcher using it, which would be a huge improvement
for Penelope.
Unfortunately, unused workstations lock themselves automatically if they are
unused for more than m minutes. After a workstation has locked itself, Penelope
has to unlock it again for the next researcher using it. Given the exact schedule of
arriving and leaving researchers, can you tell Penelope how many unlockings she
may save by asking the researchers not to lock their workstations when they leave
and assigning arriving researchers to workstations in an optimal way? You may
assume that there are always enough workstations available.
Input
The input consists of:

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